Results 51 to 60 of about 197 (145)
Twists of Galois Representations and Projective Automorphisms
Let \(\mathcal O\) be a commutative, complete local ring with residue field \(k\) and maximal ideal \(\lambda\). Also, let \(K\) be a finite extension of the rationals \(\mathbb Q\). Write \(G_K:=\text{Gal}(\overline{K}/K)\) and let \(\rho_1,\rho_2:G_K\rightarrow GL_n(\mathcal O)\) be surjective, continuous Galois representations, unramified outside a ...
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Kabirian-based optinalysis: A conceptually grounded framework for symmetry/asymmetry, similarity/dissimilarity and identity/unidentity estimations in mathematical structures and biological sequences. [PDF]
Abdullahi KB.
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On strong multiplicity one for automorphic representations
We extend the strong multiplicity one theorem of Jacquet, Piatetski-Shapiro and Shalika. Let $π$ be a unitary, cuspidal, automorphic representation of $GL_n(\A_K)$. Let $S$ be a set of finite places of $K$, such that the sum $\sum_{v\in S}Nv^{-2/(n^2+1)}$ is convergent.
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Unlikely intersections on the p-adic formal ball. [PDF]
Serban V.
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Modularity of PGL2(𝔽p)-representations over totally real fields. [PDF]
Allen PB, Khare CB, Thorne JA.
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Elements of Automorphic Representations
This is an attempt at a practical and essentially self-contained theory of automorphic representations in the framework $$\hbox{$L^2(\varGamma\backslashrG)$ with $rG=\r{PSL}(2,\B{R})$ and $\varGamma=\r{PSL}(2,\B{Z})$.}$$
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Automorphic Bloch theorems for hyperbolic lattices. [PDF]
Maciejko J, Rayan S.
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Permutation Representations and Automorphisms of Evolution Algebras
Abstract We prove that the natural permutation representation of highly transitive finite groups cannot be realized as the full automorphism group of an idempotent, finite-dimensional evolution algebra acting on the set of lines spanned by its natural elements. Specifically, for any sufficiently large integer n and
Costoya, Cristina +2 more
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Automorphic group representations [PDF]
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